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A vector operator is a type of differential operator used in vector calculus. Vector operators are defined in terms of del, and include the gradient, divergence, and curl:
## See also

## Further reading

- $operatorname\{grad\}\; equiv\; nabla$

- $operatorname\{div\}\; equiv\; nabla\; cdot$

- $operatorname\{curl\}\; equiv\; nabla\; times$

The Laplacian is

- $nabla^2\; equiv\; operatorname\{div\}\; operatorname\{grad\}\; equiv\; nabla\; cdot\; nabla$

Vector operators must always come right before the scalar field or vector field on which they operate, in order to produce a result. E.g.

- $nabla\; f$

- $f\; nabla$

A vector operator can operate on another vector operator, to produce a compound vector operator, as seen above in the case of the Laplacian.

- H. M. Schey (1996) Div, Grad, Curl, and All That: An Informal Text on Vector Calculus, ISBN 0-393-96997-5.

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Last updated on Friday June 27, 2008 at 18:33:37 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Friday June 27, 2008 at 18:33:37 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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